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Finding the Fourth Proportional to 11,214.76, 15,459.24 and 7,230.78

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Solution

The fourth proportional to 11,214.76, 15,459.24 and 7,230.78 is: 9,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.76 : 15,459.24 = 7,230.78 : x
  2. Step 2: Convert to fraction form
    11,214.76/15,459.24 = 7,230.78/x
  3. Step 3: Cross multiply
    11,214.76x = 15,459.24 × 7,230.78
  4. Step 4: Simplify right side
    11,214.76x = 111,782,363.41
  5. Step 5: Solve for x
    x = 111,782,363.41/11,214.76
  6. Step 6: Final answer
    x = 9,967.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.